Overview

This monograph gives a systematic presentation of the Carleman formulas. These enable values of functions holomorphic to a domain to be recovered from their values over a part of the boundary of the domain. Various generalizations of these formulas are considered. Applications are considered to problems of analytic continuation in the theory of functions, and, in a broader context, to problems arising in theoretical and mathematical physics, and to the extrapolation and interpolation of signals having a finite Fourier spectrum. The volume also contains a review of recent results, including those obtained by computer simulation on the elimination of noise in a given frequency band. It is suitable for mathematicians and theoretical physicists whose work involves complex analysis, and those interested in signal processing.

Full Product Details

Author:   L.A. Aizenberg
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   244
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.647kg
ISBN:  

9780792321217

ISBN 10:   0792321219
Pages:   299
Publication Date:   31 January 1993
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

I. Carleman Formulas in the Theory of Functions of One Complex Variable and their Generalizations.- I. One-Dimensional Carleman Formulas.- II. Generalization of One-Dimensional Carleman Formulas.- II. Carleman Formulas in Multidimensional Complex Analysis.- III. Integral Representations of Holomorphic Functions of Several Complex Variables and Logarithmic Residues.- IV. Multidimensional Analog of Carleman Formulas with Integration over Boundary Sets of Maximal Dimension.- V. Multidimensional Carleman Formulas for Sets of Smaller Dimension.- VI. Carleman Formulas in Homogeneous Domains.- III. First Applications.- VII. Applications in Complex Analysis.- VIII. Applications in Physics and Signal Processing.- IX. Computing Experiment.- IV. Supplement to the English Edition.- X. Criteria for Analytic Continuation. Harmonic Extension.- XI. Carleman Formulas and Related Problems.- Notes.- Index of Proper Names.- Index of Symbols.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions